I stumbled upon the compound above while playing with facetings, starting with the rhombic triacontahedron. Here’s the compound’s dual.
I made these rotating models using Stella 4d, a program you can try for free at this website.
The Compound of Ten Octahedra and Its Dual, the Compound of Ten Cubes
RobertLovesPi.net 
I’ve ended up with a very similar shape when making beaded hyparhedra – here’s a photo: https://beadmechanics.files.wordpress.com/2021/08/beadmechanics_hyparhedron4.jpg
Now I have another way to think about the underlying geometry!
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Brilliant and lovely
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Thank you.
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